Question

Сократите дробь
$\frac{ {3p}^{2} + p - 2}{4 - {9p}^{2} }$
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Answer 1

Ответ:

Объяснение:

$\dfrac{3p^2+p-2}{4-9p^2}=\dfrac{3p^2+3p-2p-2}{(2-3p)(2+3p)}=\dfrac{3p(p+1)-2(p+1)}{(2-3p)(2+3p)}=\\\\\\=\dfrac{(3p-2)(p+1)}{(2-3p)(2+3p)}=-\dfrac{p+1}{3p+2}$